Proposition 1.1.2 ([1]}, Proposition 2.3)
The Riemann theta function (REF ) associated with
the homology basis chosen in Proposition  REF satisfies
\(&\overline{\theta (\bar{\underline{z}})}=c\theta (\underline{z}+\frac{1}{2}\textrm {diag}(H)),\quad c\in \mathbb {C},\quad |c|=1,\quad \underline{z}\in \mathbb {C}^n,\\&\textrm {(the constant c is independent of \Gamma , but may dependent on H)}\nonumber \\&\overline{\underline{\Xi }}_{Q_0}=\underline{\Xi }_{Q_0}+\frac{1}{2}\textrm {diag}(H)+(n-1)\underline{\alpha }_{Q_0}(\tau (Q_0)).\) 

